When I was in elementary school, a teacher summed up communism: "you are told what you will do when you grow up. You have less choice what you can buy - everyone may have to buy the same blender."
So to me, communism = everyone has the same blender.
Of course I've learned a ton since then. But it is just one of those things that comes up to remind me that we have to be careful about how we describe things to children. They might stick.